Geodesic
Constructions preserving $n$-weak amenability of Banach algebras
Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 349-357

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MR Zbl
A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.
A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.
DOI : 10.21136/MB.2009.140667
Classification : 46H20, 46H25
Keywords: weak amenability; $n$-weak amenability; derivation; second dual; direct sum; Banach algebra; Arens product 
Jabbari, A.; Moslehian, M. S.; Vishki, H. R. E. Constructions preserving $n$-weak amenability of Banach algebras. Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 349-357. doi: 10.21136/MB.2009.140667
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